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22341100114322 = 21117198118594513
BaseRepresentation
bin1010001010001101100010…
…10101100001000110010010
32221002210021200100112000022
411011012301111201012102
510412014033112124242
6115303205410223442
74464043200453443
oct505066125410622
987083250315008
1022341100114322
117133897646350
122609a31284b82
13c609ab619c82
1457345a5892ca
1528b2238b40d2
hex1451b1561192

22341100114322 has 128 divisors (see below), whose sum is σ = 40852725580800. Its totient is φ = 9030959308800.

The previous prime is 22341100114253. The next prime is 22341100114363.

It is a happy number.

22341100114322 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22341100114291 and 22341100114300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4950385538 + ... + 4950390050.

It is an arithmetic number, because the mean of its divisors is an integer number (319161918600).

Almost surely, 222341100114322 is an apocalyptic number.

22341100114322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22341100114322 is a deficient number, since it is larger than the sum of its proper divisors (18511625466478).

22341100114322 is a wasteful number, since it uses less digits than its factorization.

22341100114322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 22341100 and 114322, that added together give a palindrome (22455422).

The spelling of 22341100114322 in words is "twenty-two trillion, three hundred forty-one billion, one hundred million, one hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 11 17 19 22 34 38 187 209 323 374 418 646 811 859 1622 1718 3553 4513 7106 8921 9026 9449 13787 14603 15409 16321 17842 18898 27574 29206 30818 32642 49643 76721 85747 99286 151657 153442 160633 169499 171494 179531 261953 277457 303314 321266 338998 359062 523906 554914 696649 843931 943217 1393298 1457699 1687862 1886434 2881483 2915398 3052027 3660043 3876667 5762966 6104054 7320086 7663139 7753334 11843033 13236331 15326278 16034689 23686066 26472662 32069378 40260473 42643337 62220731 65903339 69540817 73656673 80520946 85286674 124441462 130273363 131806678 139081634 145599641 147313346 225017627 260546726 291199282 450035254 684428041 724936729 764948987 810223403 1182193889 1252163441 1368856082 1449873458 1529897974 1620446806 2364387778 2475193897 2504326882 3143976937 4950387794 6287953874 13004132779 13773797851 26008265558 27547595702 34583746307 53447607929 59735561803 69167492614 106895215858 119471123606 587923687219 657091179833 1015504550651 1175847374438 1314182359666 2031009101302 11170550057161 22341100114322